A 6000​-seat theater has tickets for sale at ​$25 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$174,000​?

Answers

Answer 1

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000


Related Questions

I NEED HELP REALLY REALLY FAST

Answers

Answer:

360

Step-by-step explanation:

360 because you multiply the height times the width and you get your answer hopefully this helps you

A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of shoes. On Monday, both Sneakerheadz and Nukicks made shoes for the same amount of time. Sneakerheadz made sneakers at a rate of 300 sneakers per hour and Nukicks at a rate of 480 sneakers per hour. Nukicks made the same number of pairs of shoes on Monday as Sneakerheadz did on both days.

Write and solve an equation in one variable to find out how many hours the Sneaker factories operated on Monday

Show work

Answers

Answer:

 3.33 hours

Step-by-step explanation:

let the number of hours be x

let the total snickers made be y

for the factory Sneakerheadz

they have 900 pairs on Monday, hence the total sneakers made is

y=600+300x---------1

for the factory Nukicks

they only make sneakers at the rate of 480 per hour

y=480x--------------2

since they both have made the same amount of sneakers, we are going to equate 1 and 2to find x

600+300x=480x

300x-480x=-600

-180x=-600

180x=600

x=600/180

x=3.33hours

The Sneaker factories operated on Monday for 3.33 hours

pls help <3 thank you sm ;)

Answers

a = 7 have a good day!

The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.

Answers

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sabrina bought 9 bananas and spent a total of $114.00. How many yellow bananas did she purchase?

Answers

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

If the measure of angle 2 = 7x + 7 and the measure of angle 4 = 5x + 27, find the following
ONLY type in the number

Answers

Answer:

x = 10

m angle 2 = 77

m angle 4 = 77

m angle 5 = 103

Step-by-step explanation:

you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.

The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.

Answers

Answer: I believe the answer is b. 55%

Step-by-step explanation:

200/ (550-200) * 100

Answer:

Ps the answer IS 55%

Step-by-step explanation:

Just took quiz on edg 2020

Which is the quotient and remainder, written as partial fractions, of 2x^3-x^2+x+5/x^2+3x+2

it's C

Answers

Answer: thank yuu

Step-by-step explanation:

Explain! Which one is correct?

Answers

Answer:

C) $5/1 ticket

Step-by-step explanation:

$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.

Find the amplitude of y = 3 sin x.


3

pi divided by three

Answers

Answer:

Amplitude = 3

Step-by-step explanation:

The given function is : y = 3sinx

We need to find the amplitude of the given function.

The distance between the center line of the function and the top or bottom of the function is called its amplitude.

In this given function, the amplitude of 3. Hence, the correct option is (b).

What is AB in the figure.

Answers

An angle biscuior hope that helped

Answer:

Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms

please whats the answer?

Answers

Answer:

B

Step-by-step explanation:

since it is negative its below

hope this helps :3

if it did pls mark brainliest

Answer:

B. 282 feet below sea level

Step-by-step explanation:

Which of the following properly describe “slope"? Select all that apply. V2yi x2-X X-34 1291 run / rise rise / run ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)​

Answers

Answer:

A, D, E

Step-by-step explanation:

I did the assignment and it was correct!

Answer:

a d e

Step-by-step explanation:

give the other person brainliest :)

-12x + 4y =16 convert from standard form to general

Answers

Subtract 16 from both sides

you get -28x=4 divide by 4

then y=7

problem solved

5x-15
Please help me find this answer

Answers

Answer:

5(x-3)

Step-by-step explanation:

If you're looking to factor it, take out the 5

5(x-3)

That's really the only other thing you can do with this equation, I'm not sure what else you could've been asking for lol

Answer:

If your solving for x, then it's 3

Step-by-step explanation:

5x - 15 = 0

5x = 0 +15

5x = 15

x = 15 / 5

x = 3

Use the distributive property to write an equivalent expression.
9(g+6)

Answers

9(g+6)= 9g+54
that’s it

1/2(x+18)=4(2x-6)-9x

Answers

Answer:

X=-22

Step-by-step explanation:

1/2(x+18)=4(2x-6)-9x

1/2(x+18)=4(2x)-4(6)-9x

1/2(x+18)=8x-24-9x

1/2(x+18)=-x-24

2*1/2(x+18)=2(-x-24)

x+18 = -2x-48

x+2x+18 = -2x+2x-48

3x+18 = -48

3x+18-18 = -48-18

3x = -66

3x/3 = -66/3

x = -22

What number should be added to
21 to get a sum of
10?

Answers

Answer:

-11

Step-by-step explanation:

I hope this helps. Have a good day!

Answer:

-11

Step-by-step explanation:

21+(-11)=10

The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?

Point 1: ?
Point 2: ?

Answers

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

Select the correct answer.
What is 75 equal to?
O A.
7 x 5
O B.
5 x 5 x 5 x 5 x 5 x 5 x 5
OC.
7x7x7x7x7
OD. 57

Answers

all are CORRECT except for D.57

Ali spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend on fruit

Answers

70% I divided 42/60 then converted to percent :)

what is the answer to 1+1

Answers

Answer:

the answer to 1+1 is 2

:) lol

Answer:

2

Step-by-step explanation:

Alexis had a cell phone that cost $65. She recently bought a new phone that cost $79. What was the percent increase in the prices of the phones?
Show your work. Round to the nearest tenth of a percent

Answers

Answer:

21.5%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100.

(sorry if i'm wrong i'm terrible at math)

The percentage increase in price of the phone is equal to 21.5%

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: The cost of the old phone as $65 and cost of the new phone as $79

Change in price= 79-65

                          =$14

Therefore percentage change in price is = 14/65 × 100

                                                                    =21.5%

Hence, The percentage increase in price of the phone is equal to 21.5%

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Please help! Chapter test tomorrow!!
PLEASE i need to show the work, the equations.

Answers

Answer:

x=6

Step-by-step explanation:

4x-15=2x-3

+15 +15

4x=2x=12

/2 /2 +12

2x=12

/2 /2

x=6

Answer:

#1:

[tex]4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15[/tex]

#2:

Part 1: Solve for x

[tex]6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8[/tex]

Part 2: Plug in x for PQ

[tex]6(8) - 7\\\\48 - 7\\\\41[/tex]

The length of segment PQ is 41.

Part 3: Plug in x for QR

[tex]5(8) + 1\\\\40 + 1\\\\41[/tex]

The length of segment QR is 41.

Part 4: Length of PQ + length of QR = length of PR

PQ + QR = PR

41 + 41 = PR

82 = PR

The length of segment PR is 82.

Which table of values will generate this graph?

On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0).

Answers

Answer:

i need help with this to

Step-by-step explanation:

the table of values will be values of x and y respectively.

x= -2,0,0,and 3

y= 0,1,-4 and 0.

angle A and angle B are supplementary angles. If m angle A=(7x+15)^ and m angle B=(x+13)^ , then find the measure of angle A

Answers

Answers:
Angle a: 148 degrees
Angle b: 32 degrees

Here’s a picture of my calculations:

Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

Answers

Answer:

c

Step-by-step explanation:

Helpppppp ASAP!!!!!!!

Answers

Answer: No solution.

Answer:

x=2

Step-by-step explanation:

If Khoi has 2 liters of juice and adds another 35 milliliters then how many milliliters of juice does she have in all?

Answers

Answer:

2035

Step-by-step explanation:

2=2000 add 35 so it's would add up to the answer

Mel's Movie House prepares popcorn for 30% more people than the expected attendance at the movies each day. How many people should Mel prepare popcorn for, to plan for 850 movie-goers?​

Answers

1,105

850 x .30 = 255
850 + 255 = 1,105
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